SOLUTION
Step1; Write out the expression
[tex]\begin{gathered} f(x)=-3x+1 \\ g(x)=3x^2+4x-15 \end{gathered}[/tex]
Step2: Substitute the expression of g(x) for x into the F(x), we have
[tex]\begin{gathered} f(g(x))=-3(3x^2+4x-15)+1 \\ =-9x^2-12x+45+1 \\ \end{gathered}[/tex]
Then
[tex]f(g(x))=-9x^2-12x+46[/tex]
Therefore, F(g(x))=-9x²-12x+46
